Note that the fact \(R_{\tilde{W}}\in \mathfrak {T}_{p},\,0<p\le 2/\mu \) 
follows directly from the claim \(({\bf AI}).\) 
In accordance with relation (54) [1]}, we have
\((|R_{\tilde{W }}|^{2} f,f)_{\mathfrak {H}}=\Vert R_{ \tilde{W}}f\Vert ^{2}_{\mathfrak {H}}\le C\cdot {\rm Re}(R_{ \tilde{W}}f,f)_{\mathfrak {H}}= C(V f,f)_{\mathfrak {H}},\) 
